Research Article

A Novel Generalized-M Family: Heavy-Tailed Characteristics with Applications in the Engineering Sector

Table 2

The results of simulation study of the NGen-Weibull model for .

nParametersMLEsMSEsBiases

251.315931000.060189980.11593107
1.156097000.069722260.15609747
3.521391 006.814517002.12139120

501.277562000.029811950.07756164
1.117904000.034266200.11790373
3.093050005.335289001.69305020

751.256809000.019706350.05680943
1.110597000.029871760.11059712
2.827675004.373158001.42767490

1001.248572000.014392790.04857249
1.097524000.024428310.09752428
2.704424003.939458001.30442440

1501.240335000.009775990.04033521
1.087142000.018688920.08714193
2.548721003.394285001.14872050

2001.232622000.007963380.03262186
1.080381000.016730550.08038127
2.371564 002.867188000.97156410

3001.227361000.005301840.02736133
1.070034000.012886010.07003359
2.221988002.336190000.82198780

4001.224368000.004054920.02436773
1.063477000.010881230.06347681
2.128215001.932337000.72821510

5001.225677000.003681870.02567661
1.061764000.010147810.06176444
2.087973001.743413000.68797340

6001.224082000.003133560.02408230
1.062215000.010171820.06221497
2.072379001.676317000.67237860

7001.224706000.002981510.02470586
1.057195000.009264260.05719467
2.012889001.096058000.61288930

7501.211702000.002691400.02170158
1.054507000.008550280.05450734
1.915065000.993430000.57506490